I'm not at home to check right now, but I believe that the cross pin would not be in the correct position to properly engage the large cocking hook found on later model Lefever guns.
That positional relationship is very critical. Some guys have found out the hard way that simply tightening the compensating ball screw in the action knuckle moves the barrels rearward enough to screw things up. If the pin is even slightly too far to the rear, it won't correctly engage the hook to permit cocking. It it is just a bit too far forward, then the pin may hit the nose of the cocking hook at the open end, and the gun may not close. Or if it does close, then it may be difficult or impossible to remove the barrels without driving the cross pin out of the lump.
This problem can sometimes occur when attempting to fit barrels from one large hook gun to another large hook frame.